Browsing by Author "Cherif, Farouk"

Now showing 1 - 2 of 2

On the Weighted Piecewise Pseudo Almost Automorphic Solutions Mackey-Glass Model With Mixed Delays and Harvesting Term
(Springer international Publishing Ag, 2021) Amdouni, Manel; Cherif, Farouk; Tunc, Cemil
In the present work, we employ the new concept of weighted piecewise pseudo almost automorphic functions and study the impulsive Mackey-Glass model with mixed delays and nonlinear harvesting term. First, we give essential lemmas and some composition theorems related to the considered space. Second, by a suitable fixed-point theorem and the properties of the weighted piece-wise pseudo almost automorphic space, the existence and uniqueness of the weighted piecewise pseudo almost automorphic solutions are established. Furthermore, by Gronwall inequality and impulsive differential inequalities, we obtained the exponential, asymptotic stability of the weighted piecewise pseudo almost automorphic solutions. Finally, four examples and their numerical simulations are given to illustrate that the obtained results are feasible and effective.
Weighted Pseudo Almost-Automorphic Solutions of Quaternion-Valued Rnns With Mixed Delays
(Springer, 2023) Yazgan, Ramazan; Hajjaji, Salsabil; Cherif, Farouk
This work deals with a nonlinear differential equation for a quaternion-valued recurrent neural network. By using the contraction mapping principle and some differential inequalities, we directly studied the existence and the global exponential stability of weighted pseudo-almost automorphic solution for this class of quaternion-valued neural networks. Here, methods were applied without a real or a complex decomposition of the equation system. In addition, an application verifying our results and its numerical simulation was given. The generated results about the weighted pseudo-almost automorphic solution of the considered model are new.